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Finding the Third Proportional to 172,152 and 265,911

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Solution

The third proportional to 172,152 and 265,911 is: 410,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,152 : 265,911 = 265,911 : x
  2. Step 2: Convert to fraction form
    172,152/265,911 = 265,911/x
  3. Step 3: Cross multiply
    172,152x = 265,911 × 265,911
  4. Step 4: Simplify right side
    172,152x = 70,708,659,921
  5. Step 5: Solve for x
    x = 70,708,659,921/172,152
  6. Step 6: Final answer
    x = 410,733.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.